This paper reports electrophysiological correlates of enriched composition, i.e. when certain aspects of the interpretation of an utterance must be constructed on the basis of information outside the syntactic and lexical representations associated with the utterance itself. It investigates the processes underlying reference transfer, a process by which a salient property of an individual may be used to refer to this individual. On the basis of the experimental data from reference transfer, but also from previous research on thematically-driven event structure updating triggered by certain inferential relations, it is proposed that enriched composition is discernible on the basis of a particular event-related brain potential (ERP) signature: a late positivity.